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Finding the Third Proportional to 1,287,170 and 1,748,123

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Solution

The third proportional to 1,287,170 and 1,748,123 is: 2,374,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,170 : 1,748,123 = 1,748,123 : x
  2. Step 2: Convert to fraction form
    1,287,170/1,748,123 = 1,748,123/x
  3. Step 3: Cross multiply
    1,287,170x = 1,748,123 × 1,748,123
  4. Step 4: Simplify right side
    1,287,170x = 3,055,934,023,129
  5. Step 5: Solve for x
    x = 3,055,934,023,129/1,287,170
  6. Step 6: Final answer
    x = 2,374,149.51

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.